Initial import
git-svn-id: http://moon:8086/svn/software/trunk/libsrc/iir@1 b431acfa-c32f-4a4a-93f1-934dc6c82436
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/*************************************************************************/
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/* iir.c
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/*************************************************************************/
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#include "stdio.h"
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#include "math.h"
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#include "iir.h"
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/*************************************************************************/
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/* Global Variables
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/*************************************************************************/
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const char *filterTypeString[] =
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{
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"Unknown filter type",
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"Butterworth-Lowpass",
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"Butterworth-Highpass",
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"Butterworth-Bandpass",
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"Butterworth-Bandstop",
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"Peaking-EQ",
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"Low Shelving-EQ",
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"High Shelving-EQ"
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};
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/******************************************************************************/
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void IIRCalcFilterCoeff(struct _sIIRCoeff *pCoeff, double fa, double fg, double q, unsigned order, unsigned filterType)
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{
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unsigned p;
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double qp;
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IIRInit(pCoeff, order);
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for(p=0; p < order/2;p++)
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{
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qp = q * IIRCalcQp(p+1, order);
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IIRCalcPartFilterCoeff2(&pCoeff[p], 1.0, fa, fg, qp, filterType);
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}
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}
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int IIRCalcPartFilterCoeff1(struct _sIIRCoeff *pCoeff, double fa, double fg, double Qi, unsigned filterType)
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{
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double K, a0;
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double alpha, omega, ks, kc;
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unsigned error;
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omega = 2*pi*fg/fa;
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ks = sin(omega);
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kc = cos(omega);
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alpha = 0.5*ks /Qi;
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K = IIRBilTrans(fg, fa);
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a0 = K/Qi + 1;
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switch(filterType)
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{
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case IIR_FILTERTYPE_LOWPASS:
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pCoeff->ak0 = 1.0;
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pCoeff->ak1 = (1 - K/Qi)/a0;
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pCoeff->ak2 = 0.0;
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pCoeff->bk0 = 1.0/a0;
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pCoeff->bk1 = 1.0/a0;
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pCoeff->bk2 = 0.0;
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break;
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case IIR_FILTERTYPE_HIGHPASS:
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pCoeff->ak0 = 1.0;
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pCoeff->ak1 = (1 - K/Qi) /a0;
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pCoeff->ak2 = 0.0;
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pCoeff->bk0 = 1.0*K /a0;
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pCoeff->bk1 = -1.0*K /a0;
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pCoeff->bk2 = 0.0;
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break;
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default:
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error = -1;
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break;
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}
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return error;
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}
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int IIRCalcPartFilterCoeff2(struct _sIIRCoeff *pCoeff, double A, double fa, double fg, double qp, unsigned filterType)
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{
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double a0;
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double alpha, omega, ks, kc;
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unsigned error;
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omega = 2*pi*fg/fa;
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ks = sin(omega);
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kc = cos(omega);
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alpha = 0.5*ks /qp;
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error = 0;
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switch(filterType)
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{
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case IIR_FILTERTYPE_LOWPASS:
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a0 = 1 + alpha;
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pCoeff->ak0 = 1.0;
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pCoeff->ak1 = -2.0*kc /a0;
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pCoeff->ak2 = (1 - alpha) /a0;
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pCoeff->bk0 = 0.5*(1 - kc) /a0;
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pCoeff->bk1 = (1 - kc) /a0;
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pCoeff->bk2 = 0.5*(1 - kc) /a0;
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break;
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case IIR_FILTERTYPE_HIGHPASS:
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a0 = 1 + alpha;
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pCoeff->ak0 = 1.0;
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pCoeff->ak1 = -2.0*kc /a0;
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pCoeff->ak2 = (1 - alpha) /a0;
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pCoeff->bk0 = 0.5*(1 + kc) /a0;
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pCoeff->bk1 = -(1 + kc) /a0;
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pCoeff->bk2 = 0.5*(1 + kc) /a0;
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break;
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case IIR_FILTERTYPE_BANDPASS:
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a0 = 1 + alpha;
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pCoeff->ak0 = 1.0;
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pCoeff->ak1 = -2.0*kc /a0;
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pCoeff->ak2 = (1 - alpha) /a0;
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pCoeff->bk0 = alpha /a0;
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pCoeff->bk1 = 0;
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pCoeff->bk2 = -alpha /a0;
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break;
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case IIR_FILTERTYPE_BANDSTOP:
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a0 = 1 + alpha;
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pCoeff->ak0 = 1.0;
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pCoeff->ak1 = -2.0*kc /a0;
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pCoeff->ak2 = (1 - alpha) /a0;
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pCoeff->bk0 = 1.0 /a0;
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pCoeff->bk1 = -2.0*kc /a0;
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pCoeff->bk2 = 1.0 /a0;
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break;
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case IIR_FILTERTYPE_PEAKING:
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a0 = 1 + (alpha/A);
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pCoeff->ak0 = 1.0;
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pCoeff->ak1 = -2.0*kc /a0;
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pCoeff->ak2 = (1 - (alpha/A)) /a0;
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pCoeff->bk0 = (1 + (alpha*A)) /a0;
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pCoeff->bk1 = -2.0*kc /a0;
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pCoeff->bk2 = (1 - (alpha*A)) /a0;
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break;
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default:
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error = -1;
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break;
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}
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return error;
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}
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void IIR(struct _sIIRCoeff *pCoeff, double *xn, double *yn, unsigned order, unsigned numPoints)
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{
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double xp, yp;
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unsigned i, p;
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unsigned numSec = order/2;
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for (i=0; i<numPoints; i++)
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{
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xp = xn[i];
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for (p=0; p < numSec; p++)
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{
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yp = pCoeff[p].bk0*xp
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+ pCoeff[p].bk1*pCoeff[p].xn1
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+ pCoeff[p].bk2*pCoeff[p].xn2
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- pCoeff[p].ak1*pCoeff[p].yn1
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- pCoeff[p].ak2*pCoeff[p].yn2;
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pCoeff[p].yn2 = pCoeff[p].yn1;
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pCoeff[p].yn1 = yp;
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pCoeff[p].xn2 = pCoeff[p].xn1;
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pCoeff[p].xn1 = xp;
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xp = yp;
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}
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yn[i] = yp;
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}
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}
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void IIRInit(struct _sIIRCoeff *pCoeff, unsigned order)
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{
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unsigned n;
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for(n=0; n < order/2; n++)
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{
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pCoeff[n].ak0 = 0;
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pCoeff[n].ak1 = 0;
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pCoeff[n].ak2 = 0;
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pCoeff[n].bk0 = 0;
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pCoeff[n].bk1 = 0;
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pCoeff[n].bk2 = 0;
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pCoeff[n].xn1 = 0;
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pCoeff[n].xn2 = 0;
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pCoeff[n].yn1 = 0;
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pCoeff[n].yn2 = 0;
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}
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}
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double IIRBilTrans(double fg, double fa)
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{
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return 1.0/(tan(pi*fg/fa));
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}
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double IIRCalcQp(unsigned p, unsigned N)
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{
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return 1.0/(2*sin(pi*(2*p-1)/(2*N)));
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}
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